ἀγεωμέτρητος μηδεὶς εἰσίτω → no one ignorant of geometry may enter, let no one ignorant of geometry enter, let no one ignorant of geometry come in
deny on oath: P. and V. ἐξομνύναι (or mid.), ἀπομνύναι.
renounce: P. and V. ἐᾶν, χαίρω ἐᾶν, χαίρειν ἐᾶν.